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Finding the Fourth Proportional to 10,552.26, 15,831.82 and 7,392.98

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Solution

The fourth proportional to 10,552.26, 15,831.82 and 7,392.98 is: 11,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.26 : 15,831.82 = 7,392.98 : x
  2. Step 2: Convert to fraction form
    10,552.26/15,831.82 = 7,392.98/x
  3. Step 3: Cross multiply
    10,552.26x = 15,831.82 × 7,392.98
  4. Step 4: Simplify right side
    10,552.26x = 117,044,328.62
  5. Step 5: Solve for x
    x = 117,044,328.62/10,552.26
  6. Step 6: Final answer
    x = 11,091.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.